3131131330001 has 16 divisors (see below), whose sum is σ = 3186137305680. Its totient is φ = 3076668887040.

The previous prime is 3131131329979. The next prime is 3131131330031. The reversal of 3131131330001 is 1000331311313.

It can be written as a sum of positive squares in 8 ways, for example, as 206429379025 + 2924701950976 = 454345^2 + 1710176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131131330001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131131330031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7342835 + ... + 7757543.

It is an arithmetic number, because the mean of its divisors is an integer number (199133581605).

Almost surely, 2^{3131131330001} is an apocalyptic number.

It is an amenable number.

3131131330001 is a deficient number, since it is larger than the sum of its proper divisors (55005975679).

3131131330001 is a wasteful number, since it uses less digits than its factorization.

3131131330001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415364.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 3131131330001 its reverse (1000331311313), we get a palindrome (4131462641314).

The spelling of 3131131330001 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-one million, three hundred thirty thousand, one".